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A Novel Approach to Group Decision-Making with Interval-Valued Intuitionistic Fuzzy Preference Relations via Shapley Value

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Abstract

This paper proposes a novel weighting approach to group decision-making (GDM) with interval-valued intuitionistic fuzzy preference relations (IVIFPRs) based on a fuzzy cooperative game method and the continuous interval-valued intuitionistic fuzzy ordered weighted averaging (CIVIFOWA) operator. First of all, a continuous IVIFPR (CIVIFPR) is defined based on the CIVIFOWA operator, and then considering the contribution of each decision-maker (DM), an iterative algorithm is designed to redistribute weights of DMs by using cooperative method. Moreover, a logarithm least optimal model is developed to deriving interval priority weights of IFPR and a two-stage resolution process is proposed for the GDM with IVIFPRs. Finally, a practical example with cooperation and competition is provided to verify the feasibility and efficiency of the proposed method. The characteristics of the proposed method are as follows: (1) the iterative algorithm is devoted to deriving DMs’ weights in GDM by using fuzzy cooperative game based on the CIVIFOWA operator in which the contribution of each DM’s opinion to the group indicates the rationality and importance in GDM of their opinions; (2) the weighting algorithm can be adjusted by modifying the attitude parameter based on the CIVIFOWA operator, which makes the proposed method more flexible.

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Acknowledgements

The work was supported by National Natural Science Foundation of China (Nos. 71771001, 71701001, 71301001, 71371011, 71501002), Project of Anhui Province for Excellent Young Talents, the Doctoral Scientific Research Foundation of Anhui University, Anhui Provincial Natural Science Foundation (No. 1508085QG149), Provincial Natural Science Research Project of Anhui Colleges (Nos. KJ2015A379, KJ2017A026), and the Scientific Research and Development Foundation of Hefei University (No. 12KY02ZD), Anhui Provincial Philosophy and Social Science Program (No. AHSKQ2016D13), Scientific Research and Training Program of Anhui University (Nos. KYXL2016006, KYXL2017007), Innovation and Training Program of Anhui University (Nos. 201710357207, 201710357460).

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Han Zhou, Ligang Zhou, Huayou Chen & Weiran Ding

  2. School of Mathematics, The University of Edinburg, JCMB, King’s Buildings, Edinburg, EH9 3JZ, UK

    Xiyuan Ma

  3. China Institute of Manufacturing Development, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Ligang Zhou

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  1. Han Zhou
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  2. Xiyuan Ma
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  3. Ligang Zhou
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Correspondence to Ligang Zhou.

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Zhou, H., Ma, X., Zhou, L. et al. A Novel Approach to Group Decision-Making with Interval-Valued Intuitionistic Fuzzy Preference Relations via Shapley Value. Int. J. Fuzzy Syst. 20, 1172–1187 (2018). https://doi.org/10.1007/s40815-017-0412-0

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